Q: What are the prime factors of the number 60,414,736?

 A: 2, 17, 222113

Why are those the prime factors of the number 60,414,736?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 60,414,736

60,414,736
Factor Arrows
230,207,368
Factor Arrows
215,103,684
Factor Arrows
27,551,842
Factor Arrows
23,775,921
Factor Arrows
17222,113

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 17, 222113

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 17 x 222,113 = 60,414,736

This can also be written as 24 x 171 x 222,1131 = 60,414,736

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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